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Finding the Third Proportional to 296,592 and 639,840

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Solution

The third proportional to 296,592 and 639,840 is: 1,380,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,592 : 639,840 = 639,840 : x
  2. Step 2: Convert to fraction form
    296,592/639,840 = 639,840/x
  3. Step 3: Cross multiply
    296,592x = 639,840 × 639,840
  4. Step 4: Simplify right side
    296,592x = 409,395,225,600
  5. Step 5: Solve for x
    x = 409,395,225,600/296,592
  6. Step 6: Final answer
    x = 1,380,331.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.